verb
1
BAD : Could you meet with me outside the station?
GOOD : Could you meet me outside the station?
BAD : The next time I met with her was in the supermarket.
GOOD : The next time I met her was in the supermarket.
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meet with sb (mainly American English) = have a (previously arranged) meeting with someone: 'We met with their representatives to discuss the problem.'
meet sb (British and American English) = be in the same place as someone by chance or arrangement: 'Guess who I met on the way to the bank this morning?' 'I suggest we meet back here in an hour's time.'
2
BAD : Hello John. It's good to meet you.
GOOD : Hello John. It's good to see you.
BAD : I can't wait to meet you again at Christmas.
GOOD : I can't wait to see you again at Christmas.
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When you greet someone you know well, or talk about meeting them, use see (NOT meet ): 'I hope you'll come and see us again soon.'